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Finding the Fourth Proportional to 2,708.25, 4,062.38 and 656.25

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Solution

The fourth proportional to 2,708.25, 4,062.38 and 656.25 is: 984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.25 : 4,062.38 = 656.25 : x
  2. Step 2: Convert to fraction form
    2,708.25/4,062.38 = 656.25/x
  3. Step 3: Cross multiply
    2,708.25x = 4,062.38 × 656.25
  4. Step 4: Simplify right side
    2,708.25x = 2,665,933.59
  5. Step 5: Solve for x
    x = 2,665,933.59/2,708.25
  6. Step 6: Final answer
    x = 984.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.